Solving Inequalities in Math 7

The video tutorial introduces inequalities using a relatable analogy from the game Among Us. It explains the process of solving equations and inequalities, highlighting the differences between them. The tutorial covers graphing solutions on a number line and provides practice problems to reinforce learning. The video concludes with a final problem and a summary of key concepts.

What is always greater at the start of the game analogy used for inequalities?

• Game time

• Crewmates over imposters

• Number of tasks

• Imposters over crewmates

What is the first step in solving the equation mentioned in the video?

• Divide by 2

• Multiply by 2

• Subtract 1

• Add 1

What symbol represents a solution that does not include the number itself in inequalities?

• Solid circle

• Dotted line

• Open circle

• Arrow

In the context of inequalities, what does 'x is greater than 4' imply on a number line?

• Place a solid dot on 4

• None of the above

• Shade right from 4

• Shade left from 4

How do you solve an inequality when the variable is on the opposite side of the equation?

• Flip the inequality sign

• Keep the same steps as an equation

• Ignore the variable

• None of the above

What does a solid dot on a number line in an inequality represent?

• The solution is undefined

• The number is included in the solution

• The number is not included in the solution

• The inequality is invalid

What is the correct graphical representation for 'x is greater than or equal to -1'?

• Open circle at -1, shading to the left

• Solid circle at -1, shading to the left

• Solid circle at -1, shading to the right

• Open circle at -1, shading to the right

Which of the following is a correct step in solving the inequality '3x ≥ -3'?

• Multiply both sides by -1

• Divide both sides by 3

• Subtract 3 from both sides

• Add 5 to both sides

What is the result of solving the inequality '4x > 12'?

• x < 4

• x > 3

• x > 4

• x < 3

Which number is not part of the solution set for 'x > 3'?

• 2

• 3

• 4

• 5